Let A and B be square matrices of the same size. (a) Prove that if A and B are both diagonal, then AB is diagonal and A and B commute.
Let A and B be square matrices of the same size. (a) Prove that if A and B are both diagonal, then AB is diagonal and A and B commute.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 57E: Let A and B be square matrices of order 4 such that |A|=5 and |B|=3.Find a |A2|, b |B2|, c |A3|, and...
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Let A and B be square matrices of the same size. (a) Prove that if A and B are both diagonal, then AB is diagonal and A and B commute.
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